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Finding the Third Proportional to 1,757,614,428.56 and 3,759,852,461.63

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Solution

The third proportional to 1,757,614,428.56 and 3,759,852,461.63 is: 8,042,998,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757,614,428.56 : 3,759,852,461.63 = 3,759,852,461.63 : x
  2. Step 2: Convert to fraction form
    1,757,614,428.56/3,759,852,461.63 = 3,759,852,461.63/x
  3. Step 3: Cross multiply
    1,757,614,428.56x = 3,759,852,461.63 × 3,759,852,461.63
  4. Step 4: Simplify right side
    1,757,614,428.56x = 14,136,490,533,187,571,712
  5. Step 5: Solve for x
    x = 14,136,490,533,187,571,712/1,757,614,428.56
  6. Step 6: Final answer
    x = 8,042,998,682.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.